Problem 89
Question
What is a half-plane?
Step-by-Step Solution
Verified Answer
A half-plane is a region of a plane on one side of a given line known as the line of separation. It can be either 'closed', including the line, or 'open', not including it.
1Step 1: Understand the components of geometry
A half-plane in geometry is an area or region of a plane on one side of a given line.
2Step 2: Visualization
The plane is divided into two half-planes by a line called 'line of separation'. Each of these regions formed by the line of separation is known as a half-plane.
3Step 3: Elaborate the concept
A half-plane is said to be 'closed' if it includes the line, and 'open' if it does not include it.
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